Existence of weak solutions to a Cahn–Hilliard–Biot system

URN to cite this document:: urn:nbn:de:bvb:355-epub-590148
DOI to cite this document:: 10.5283/epub.59014

Abels, Helmut

; Garcke, Harald

; Haselböck, Jonas

License: Creative Commons Attribution 4.0
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Date of publication of this fulltext: 29 Aug 2024 06:47

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Abstract

We prove existence of weak solutions to a diffuse interface model describing the flow of a fluid through a deformable porous medium consisting of two phases. The system non-linearly couples Biot’s equations for poroelasticity, including phase-field dependent material properties, with the Cahn–Hilliard equation to model the evolution of the solid, and is further augmented by a visco-elastic ...